지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.65 No.4
- 발행연도
- 2018.1
- 수록면
- 381 - 388 (8page)
이용수
초록· 키워드
오류제보하기
Dynamic behaviour of beam carrying masses has attracted attention of many researchers and engineers. Many studies on the analytical solution of beam with concentric tip mass have been published. However, there are limited works on vibration analysis of beam with an eccentric three dimensional object. In this case, bending and torsional deformations of beam are coupled due to the boundary conditions. Analytical solution of equations of motion of the system is complicated and lengthy. Therefore, in this study, Differential Transform Method (DTM) is applied to solve the relevant equations. First, the Timoshenko beam with 3D tip attachment whose centre of gravity is not coincident with beam end point is considered. The beam is assumed to undergo bending in two orthogonal planes and torsional deformation about beam axis. Using Hamilton’s principle the equations of motion of the system along with the possible boundary conditions are derived. Later DTM is applied to obtain natural frequencies and mode shapes of the system. According to the relevant literature DTM has not been applied to such a system so far. Moreover, the problem is modelled by Ansys, the well-known finite element method, and impact test is applied to extract experimental modal data. Comparing DTM results with finite element and experimental results it is concluded that the proposed approach produces accurate results.
목차
등록된 정보가 없습니다.
참고문헌 (28)
참고문헌 신청
Abramovich, H. / 1991 / Vibration of a cantilever Timoshenko beam with a tip mass / J. Sound Vibr. 148(1):162~170
Arikoglu, A. / 2006 / Solution of difference equations by using differential transform method / Appl. Math. Comput. 174:1216~1228
Auciello, N.M. / 1996 / Transverse vibrations of a linearly tapered cantilever beam with tip mass of rotatory inertia and eccentricity / J. Sound Vibr. 194(1):25~34
Balkaya, M. / 2009 / Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method / Arch. Appl. Mech. 79:135~146
Catal, S. / 2008 / Solution of free vibration equations of beam on elastic soil by using differential transform method / Appl. Math. Modell. 32:1744~1757
Arikoglu, A. / 2006 / Solution of difference equations by using differential transform method / Appl. Math. Comput. 174:1216~1228
Auciello, N.M. / 1996 / Transverse vibrations of a linearly tapered cantilever beam with tip mass of rotatory inertia and eccentricity / J. Sound Vibr. 194(1):25~34
Balkaya, M. / 2009 / Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method / Arch. Appl. Mech. 79:135~146
Catal, S. / 2008 / Solution of free vibration equations of beam on elastic soil by using differential transform method / Appl. Math. Modell. 32:1744~1757
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